1. Tardigrade
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  3. Physics
  4. A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1 and u2, respectively. If the ratio u1: u2 = 2: 1 and hc = 1240 eV nm, the work function of the metal is nearly

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Q. A metal surface is illuminated by light of two different wavelengths $248\, nm$ and $310\, nm$. The maximum speeds of the photoelectrons corresponding to these wavelengths are $u_1$ and $u_2$, respectively. If the ratio $u_1 : u_2$ = $2 : 1$ and $hc = 1240\, eV\, nm$, the work function of the metal is nearly

JEE AdvancedJEE Advanced 2014Dual Nature of Radiation and Matter

Solution:

$\frac{\frac{h c}{\lambda_{1}}-\phi}{\frac{ hc }{\lambda_{2}}-\phi}=\frac{ u _{1}^{2}}{ u _{2}^{2}}$
$\phi=3.7 \,eV$